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Finding the Fourth Proportional to 1,014.68, 1,522.16 and 429.68

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Solution

The fourth proportional to 1,014.68, 1,522.16 and 429.68 is: 644.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.68 : 1,522.16 = 429.68 : x
  2. Step 2: Convert to fraction form
    1,014.68/1,522.16 = 429.68/x
  3. Step 3: Cross multiply
    1,014.68x = 1,522.16 × 429.68
  4. Step 4: Simplify right side
    1,014.68x = 654,035.98
  5. Step 5: Solve for x
    x = 654,035.98/1,014.68
  6. Step 6: Final answer
    x = 644.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.